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Starting from microscopic and symmetry considerations, we derive the Hamiltonian describing the exchange interaction between the localized Mn spins and the valence band holes in $Ga_{1-x}Mn_x As$. We find that due to the strong spin-orbit…

Strongly Correlated Electrons · Physics 2007-05-23 Gergely Zarand , Boldizsar Janko

The RKKY interaction between substitutional Mn local moments in GaAs is both spin-direction-dependent and spatially anisotropic. In this Letter we address the strength of these anisotropies using a semi-phenomenological tight-binding model…

Materials Science · Physics 2009-11-10 C. Timm , A. H. MacDonald

We investigate the interaction of two Mn ions in the dilute magnetic semiconductor GaMnAs using the variational envelope wave function approach within the framework of six band model of the valence band. We find that the effective…

Materials Science · Physics 2007-05-23 P. Redlinski , G. Zarand , B. Janko

We employ a kinetic-exchange tight-binding model to calculate the magnetic interaction and anisotropy energies of a pair of substitutional Mn atoms in GaAs as a function of their separation distance and direction. We find that the most…

Materials Science · Physics 2015-05-18 T. O. Strandberg , C. M. Canali , A. H. MacDonald

We derive an effective Hamiltonian for ${\rm Ga}_{1-x}{\rm Mn}_x {\rm As}$ in the dilute limit, where ${\rm Ga}_{1-x}{\rm Mn}_x {\rm As}$ can be described in terms of spin $F=3/2$ polarons hopping between the {\rm Mn} sites and coupled to…

Materials Science · Physics 2007-05-23 Gregory A. Fiete , Gergely Zarand , Kedar Damle , C. Pascu Moca

Motivated by the recent suggestion of anisotropic effective exchange interactions between Mn spins in Ga$_{1-x}$Mn$_x$As (arising as a result of spin-orbit coupling), we study their effects in diluted Heisenberg spin systems. We perform…

Disordered Systems and Neural Networks · Physics 2007-05-23 Chenggang Zhou , Malcolm P. Kennett , Xin Wan , Mona Berciu , R. N. Bhatt

We present a computational study of individual and pairs of substitutional Mn impurities on the (110) surface of GaAs samples based on density functional theory. We focus on the anisotropy properties of these magnetic centers and their…

Strongly Correlated Electrons · Physics 2011-08-29 M. Fhokrul Islam C. M. Canali

We employ the dynamical mean field approximation to perform a systematic study of magnetism in Ga_{1-x}Mn_xAs. Our model incorporates the effects of the strong spin-orbit coupling on the J=3/2 GaAs valence bands and of the exchange…

Strongly Correlated Electrons · Physics 2007-05-23 K. Aryanpour , J. Moreno , M. Jarrell , R. S. Fishman

The effect of dipolar interaction and local uniaxial anisotropy on the magnetic response of small spin clusters where spins are located on the vertices of icosahedron, cuboctahedron, tetrahedron and square geometry have been investigated.…

Atomic and Molecular Clusters · Physics 2012-01-11 Alfred Hucht , Sanjubala Sahoo , Shreekantha Sil , Peter Entel

We present a finite-temperature theory of the anisotropic spin-spin correlations in magnetic metallic monolayers, deposited on a suitable substrate. The `spins' are the local moments set up by the itinerant electrons, and the key concept is…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. dos Santos Dias , J. B. Staunton , A. Deak , L. Szunyogh

We introduce a Heisenberg Hamiltonian for describing the magnetic properties of GaMnAs. Electronic degrees of freedom are integrated out leading to a pairwise interaction between Mn spins. Monte Carlo simulations in large systems are then…

Materials Science · Physics 2009-11-10 L. Brey , G. Gómez-Santos

We develop a microscopic theory of finite-temperature spin-nematic orderings in three-dimensional spatially anisotropic magnets consisting of weakly-coupled frustrated spin-1/2 chains with nearest-neighbor and next-nearest-neighbor…

Strongly Correlated Electrons · Physics 2013-02-19 Masahiro Sato , Toshiya Hikihara , Tsutomu Momoi

The magnetic properties of the diluted magnetic semiconductor Ga_{1-x}Mn_{x}As are studied within the dynamical cluster approximation. We use the k-dot-p Hamiltonian to describe the electronic structure of GaAs with spin-orbit coupling and…

Strongly Correlated Electrons · Physics 2015-05-14 Unjong Yu , Abdol-Madjid Nili , Karlis Mikelsons , Brian Moritz , Juana Moreno , Mark Jarrell

We simulate the indirect exchange interaction between Mn-rich Mn(Ga)As nanoclusters in GaAs by analytical means. In contrast to the conventional Ruderman-Kittel-Kasuya-Yosida (RKKY) formula which considers the mediation by the carriers in…

Materials Science · Physics 2009-01-09 Ching-Hao Chang , T. M. Hong

We have performed ab initio calculations within the density-functional theory for Ga_{1-x}Mn_xAs diluted semiconductors. Total energy results unambiguously show that a quasi-localized down-spin hole, with strong p-like character, surrounds…

Materials Science · Physics 2007-05-23 A. J. R. da Silva , A. Fazzio , R. R. dos Santos , L. E. Oliveira

We present results of tight-binding spin-dynamics simulations of individual and pairs of substitutional Mn impurities in GaAs. Our approach is based on the mixed quantum-classical scheme for spin dynamics, with coupled equations of motions…

Mesoscale and Nanoscale Physics · Physics 2014-12-04 M. R. Mahani , A. Pertsova , C. M. Canali

We present calculations of magnetic exchange interactions and critical temperature T_c in Mn:GaAs, Cr:GaAs and Cr:GaN. The local spin density approximation is combined with a linear-response technique to map the magnetic energy onto a…

Materials Science · Physics 2009-11-10 J. L. Xu , M. van Schilfgaarde , G. D. Samolyuk

Two spins located at the edge of a quantum spin Hall insulator may interact with each other via indirect spin-exchange interaction mediated by the helical edge states, namely the RKKY interaction, which can be measured by the magnetic…

Strongly Correlated Electrons · Physics 2022-01-19 Ru Zheng , Rong-Qiang He , Zhong-Yi Lu

We demonstrate that the magnetization in magnetic semiconductors exhibits nutational motion when subjected to an external magnetic field. This behavior originates from the splitting of the conduction-electron band which induces anisotropic,…

Materials Science · Physics 2025-01-09 H. Kachkachi

Over the past two decades, the research of (Ga,Mn)As has led to a deeper understanding of relativistic spin-dependent phenomena in magnetic systems. It has also led to discoveries of new effects and demonstrations of unprecedented…

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